Back close

Course Detail

Course Name Sampling Theory
Course Code 24MAT452
Program 5 Year Integrated MSc/ BSc. (H) in Mathematics with Minor in Data Science
Semester Elective
Credits 3
Campus Amritapuri

Syllabus

Unit I

Concept of sampling – Need for sampling – population and sample – sampling unit and sample frame – Types of Population – Basic properties of population – sample survey and census – Principal steps in a Sample survey – Notion of sampling error.

Unit II

Simple Random Sampling with and without replacement – Estimation of Population mean and proportion and their variances- Determination of sample size.

Unit III

Stratified sampling – Principles of stratification – Estimation of population mean and its variance – Allocation techniques – Estimation of gain due to stratification

Unit IV

Systematic sampling – Estimation of population mean and its sampling variance – Circular systematic sampling – comparison of systematic, simple random and stratified random sampling – cluster sampling with equal sized clusters – estimation of population mean and variance.

Unit V

Large scale sample surveys – Sources of Non sampling errors and methods of controlling them – NSS and CSO and their functions.

Course Objectives and Outcomes

CO1: Understand principal steps in a sample survey and notion of sampling error
CO2: To understand estimation of population mean and proportion and their variance
CO3: To explain and to compare various allocations using stratified random sampling and systematic sampling
CO4: To draw a conclusion about the best sampling procedure. CO5: To apply various sampling methods for agricultural data

Textbooks/ References

Text Books

  • Singh D and Choudhary F.S. (1986): Theory and Analysis of Sample Survey and Designs, New Age International.

Books for Reference

  1. Cochran, W.G. (1977): Sampling Techniques, 3/e, Wiley.
  2. Desraj (2000): Sample survey theory, Narosa Publishing House.
  3. Murthy M.N. (1967): Sampling theory and methods, Statistical Publishing society, Calcutta.
  4. Sukhatme etal (1984): Sampling theory of surveys with applications, Iowa State University Press and IARS.
  5. Sampath (2000): Sampling Theory and Methods, Narosa Publishing house

DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.

Admissions Apply Now